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We propose a model for the motion of a single active particle in aheterogeneous environment where the heterogeneity may arise due to thecrowding, conformational fluctuations and/or slow rearrangement of thesurroundings. Describing the active particle in terms of the Ornstein-Uhlenbeckprocess (OUP) and incorporating the heterogeneity in the thermal bath using thetwo separate models, namely "diffusing diffusivity" and "switching diffusion",we explore the essential dynamical properties of the particle for itsone-dimensional motion. In addition, we show how the dynamical behavior iscontrolled by two timescales, namely diffusive time and persistence time. Ourmodel is relevant in the context of single particle dynamics in crowdedenvironment, driven by activity.

Motion of an active particle with dynamical disorder